Answers
Answer:
See below ↓
Step-by-step explanation:
19.
[tex]\frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}[/tex][tex]\frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}[/tex][tex]\frac{5x-5-2x+6-x+7+2x-4}{10}[/tex][tex]\frac{4x+4}{10}[/tex][tex]\frac{2x+2}{5}[/tex]20.
[tex]\frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }[/tex][tex]\frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }[/tex][tex]\frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }[/tex][tex]\frac{10x^{2}-6}{8x^{2} }[/tex][tex]\frac{5x^{2}-3}{4x^{2} }[/tex]Related Questions
The equation to model Exponential Growth is: y=a(1+r)t y= total amount a= starting amount r= the growth rate as a decimal t= number of growth periods Question 4 A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist starts with a sample of 30 bacteria cells. Write an equation that can be used to determine the number of cells after x hours.
Answers
Answer:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursStep-by-step explanation:
Given exponential growth equation:
[tex]y=a(1+r)^t[/tex]
where:
y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periodsIf a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:
r = 50% = 0.5If the starting amount of bacteria cells is 30 then:
a = 30Therefore, the equation that can be used to determine the number of cells after x hours is:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursThere is a bag a filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and
then it iS not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answers
Answer:
3/7Step-by-step explanation:
Given
Red = 4, Blue = 3Total number of marbles is
3 + 4 = 7Probability of getting 2 of the same color is
P(2 same) = P(red, red) + P(blue, blue)Probability of 2 reds is:
P(red, red) = 4/7*3/6 = 2/7Probability of 2 blues is:
P(blue, blue) = 3/7*2/6 = 1/7Required probability is
P(2 same) = 2/7 + 1/7 = 3/7Find the area of the rectangle.
l=10 in, w=7.5 in
Answers
Answer:
It should be 75 inches
Step-by-step explanation:
Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4
Answers
Answer:
B shows the Identity Property.
Step-by-step explanation:
x+0=x
Which statement about the asymptotes is true with respect to the graph of this function f(x)= 3x^2-3/x^2-4
Answers
Answer:
D. The graph has two vertical asymptotes and one horizontal asymptote.
Step-by-step explanation:
If 75% of a number is 255 and 20% of the same number is 68, find 95% of that
number
Answers
Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
[tex]75[/tex]% of x = [tex]255[/tex] [tex]20[/tex]% of x = [tex]68[/tex][tex]95[/tex]% of x = [tex]\boxed{?}[/tex]Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
pls help ill give brainliest and 5 starts
Answers
Answer:
For number 1: Plate boundaries.
For number 2: Geography.
For number 4: Plate.
For number 5: Plate tectonics
Hope this helps.
-Mark me brainliest & 5 star-
A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14
Answers
Answer:
18.84 inches.
Step-by-step explanation:
Volume = 4/3 π r^3 = 113.04
r^3 = 113.04 / 4/3 * 3.14
r^3 = 27
r = 3 inches,
So the circumference = 2 * 3.14 * 3
= 18.84 inches.
Twelve people apply for a teaching position in mathematics at a local college. Six have a PhD and six have a master’s degree. If the department chairperson selects three applicants at random for an interview, find the probability that all three have a PhD
Answers
Using the hypergeometic distribution, it is found that there is a 0.0175 = 1.75% probability that all three have a PhD.
The applicants are chosen without replacement, hence the hypergeometric distribution is used to solve this question.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the values of the parameters are as follows: N = 20, k = 6, n = 3.
The probability that all three have a PhD is P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,3,6) = \frac{C_{6,3}C_{14,0}}{C_{20,3}} = 0.0175[/tex]
0.0175 = 1.75% probability that all three have a PhD.
More can be learned about the hypergeometic distribution at https://brainly.com/question/24826394
HELP ASAP I WILL GIVE YOU BRAINLEAST
WHAT IS THE EQUATION OF THE GRAPH?
Answers
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
Plug in x = 0 and you should get y = 4. Plug in x = 1 and you should get y = 7These two facts help confirm we have the correct exponential equation.
Answer: y = 4*(1.75)^x===========================================================
Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
Answer: y = 40*(1/3)^xHey y’all! Can I please have some help??? :)
Answers
Answer:
Rhombi and Squares
Step-by-step explanation:
1) KY (pythagorean Thm) 5² + x² = 13² ...= 12
2) PK Diagonals bisected. also = 12
3) Diagonals of rhombi are perpendicular. <YKZ = 90
4) 67. Alternate interior angles are congruent.
5) 3. Diagonals are bisected and congruent for squares.
6) 45° . Angles are bisected by diagonals.
7) 90° . All angles of squares are right angles.
8) 6. Diagonals are bisected. So 3 is doubled to 6.
9) I need graph paper.. hol'up
ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?
Answers
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.
Plug in your values:
V = π[tex]r^{2}[/tex]h
V = 3.14(9^2) x 4
V = 3.14(81) x 4
V = 254.34 x 4
V = 1,017.36^3 feet or 1,017.36 cubic feet.
will give brainiest IF CORRECT
Answers
2 1/2 pounds =. Ounces
I need help
Answers
Answer:
32 and a half
Step-by-step explanation:
What value completes this expression?
4m + ____m = 4m (1 + 6)
Answers
Answer:
24
Step-by-step explanation:
4(1)m + 4(6)m
= 4m + 24m
How many times larger is 8 x 106 than 2 x 103?
Х
Answers
Answer: ~4.12 times larger
Step-by-step explanation:
1. find the values for both equation, (8*106=848) and (2*103=206).
2. divide the larger number by the smaller one. 848/206
which gives us 4.11650485, or 4.12 rounded.
hope this helped! ♡
Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit
Answers
Answer:
YES
Step-by-step explanation:
Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)
1+2 >2
2+2>1
32 is what percent of 50?
64%
70%
1.5%
156%
Answers
Answer:
64% hope this helps
Step-by-step explanation:
I'm just smart
Answer:
The answer is 64%
Step-by-step explanation:
5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.
20x20x2 please I really need to answer this question
Answers
Answer:
800
Step-by-step explanation:
20*20=400
400*2=800
Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2
Answers
The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.
How to know an equation with infinitely many solutions?If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Therefore, let's check for the equation with the same terms and constant with the equation :
x + y = -1
Hence, the most likely equation of line p is as follows:
2x + 2y = -2
divide both sides by 2
2x/ 2 + 2y / 2 = -2 / 2
x + y = - 1
The equation of the line will be 2x + 2y = -2
learn more on equation here: https://brainly.com/question/2263981
#SPJ1
a binder normally costs $8.99. use this information to answer the questions below
Answers
Answer:
You are asking a question that cannot be solved by anyone outside of your school.
Step-by-step explanation:
What information is below?
how many solutions are there to the system of equations graphed below if the lines are parallel
Answers
Answer:
your answer would be zero
Step-by-step explanation:
Parllel lines never crosses or intercept, which means they have 0 solutions
can someone help me answer this
Answers
Answer:
sum the numbers of favorite food together.
pizza- 58.
hamburger- 36.
pasta- 14.
others- 17.
Addition of the favorite food will give us .
58+36+14+17=125.
pizza ..58/125 × 100 =46.4
Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384
Answers
Answer:
./48
Step-by-step explanation:
For every pizza Caron's family ate, Caron ate 2 of the 8 slices. If Caron's family brought 4 pizzas, write the ratio of the total number of slices Caron ate to the total number of slices the family ate.
Answers
Answer:
[tex]\frac{8}{32}[/tex]
Step-by-step explanation:
2×4=8
Caron are a total of 8 slices.
8×4=32
There were 32 slices between all 4 pizzas.
help me for five fazcoins and a copy of the morbius movie
Answers
Answer:
D
Step-by-step explanation:
down 110 ft over time 10 min
time can't be negative
HELP PLEASE!
can anyone help me with this math question? im quite confused on where to begin..
please explain & show the steps!
Answers
===================================================
Explanation:
In the first parenthesis grouping, we have these three terms
[tex]9x^2y[/tex]
[tex]6xy^2[/tex]
[tex]-3xy[/tex]
and we're dividing each of them over the denominator -3xy.
Think of it like the distributive property. In fact, division is a disguised version of multiplication, which is why the distributive property is not a coincidence. Example: 10/2 = 10*(1/2) = 10*0.5 = 5
If we divide each term over -3xy, then we get these three separate results:
[tex](9x^2y) \div (-3xy) = -3x[/tex]
[tex](6xy^2) \div (-3xy) = -2y[/tex]
[tex](-3xy) \div (-3xy) = 1[/tex]
The last equation is probably self explanatory: any number divided by itself is 1, as long as the number isn't zero. Eg: 4/4 = 1.
The first two equations might not be obvious. For the first equation, we divide the coefficients 9 and -3 to get -3 as the final coefficient on the right hand side. Then the variable terms cancel when pairing them up. Check out the diagram below to see what I mean by this canceling. It's optional, but it might help to think of [tex]x^2[/tex] as [tex]x*x[/tex]
A similar situation happens in the second equation as well.
After doing those three division operations, we then add up the results to arrive at -3x+(-2y)+1 which is the same as -3x-2y+1
Solve the system by substitution.
y= 4x + 22
y= -7x
(__,__)
Answers
Answer:
y=14, and x=-2(-2,14)Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
y=4x+22 and y=-7x
y=-7x=4x+22
Solve.
-7x=4x+22
x=2
Substitute.
y=-7x, x=-2
y=-7(-2)
Solve.
Multiply.
y=14
(-2,14)
Therefore, the final answer is (-2,14).
I hope this helps you! Let me know if my answer is wrong or not.
Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C
A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.
A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.
m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°
Answers
Answer: m∠1 + m∠4 = 180°
Step-by-step explanation:
If angles 1 and 4 are supplementary, their measures must add to 180 degrees.
wich expression shows a way to factor 15+18
Answers
3(5+6) can also be written as 3 x (5+6) or in a more simpler form, 5+6= is 11. So when we multiply 11 x 3, we get 33 which is also equal to 3(5+6) = 33. Hope this helps.